Continuity characterizing totally disconnected locally compact groups

Title: Continuity characterizing totally disconnected locally compact groups
Creator: Hofmann, Karl H.; Willis, George A.
Relation: Journal of Lie Theory Vol. 25, Issue 1, p. 1-7
Relation: http://www.heldermann.de/JLT/JLT25/JLT251/jlt25001.htm
Publisher: Heldermann Verlag
Resource Type: journal article
Date: 2015
Description: For a locally compact group G and its compact space SUB(G) of closed subgroups let μG: G -> SUB(G) denote the function which attaches to an element g of G the closed subgroup generated by it. It is shown that G is totally disconnected if and only if μ is continuous. Several other functions which associate with an element of G in a natural way a closed subgroup of G are discussed with respect to their continuity in totally disconnected locally compact groups.
Subject: locally compact group; Chabauty space; hyperspace of closed subgroups; continuity; monothetic subgroup
Identifier: http://hdl.handle.net/1959.13/1301964
Identifier: uon:20382
Identifier: ISSN:0949-5932
Language: eng
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